5835947040 has 864 divisors, whose sum is σ = 25867610496. Its totient is φ = 1184440320.

The previous prime is 5835946999. The next prime is 5835947081. The reversal of 5835947040 is 407495385.

5835947040 is a `hidden beast` number, since 58 + 3 + 594 + 7 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5835946999) and next prime (5835947081).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56659629 + ... + 56659731.

It is an arithmetic number, because the mean of its divisors is an integer number (29939364).

Almost surely, 2^5835947040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5835947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12933805248).

5835947040 is an abundant number, since it is smaller than the sum of its proper divisors (20031663456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5835947040 is a wasteful number, since it uses less digits than its factorization.

5835947040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5835947040 is about 76393.3703929863. The cubic root of 5835947040 is about 1800.4059824995.

The spelling of 5835947040 in words is "five billion, eight hundred thirty-five million, nine hundred forty-seven thousand, forty".